Answer:
14
Step-by-step explanation:
You just multiply 2 to (x + 7) which gets you 2x + 14 and then subtract 2x from 2x seeing as they are like terms and you end up with 14.
I need help with this right now before it’s due
Grapes
Answer:
21, 6, 12
Step-by-step explanation:
your welcome:)
Distribute: -8(3f - 9)
Step-by-step explanation:
[tex] - 8(3f - 9) = [/tex]
[tex] - 24f + 72[/tex]
In AMNO, the measure of 20=90°, MN = 99 feet, and OM = 52 feet. Find the
measure of M to the nearest degree.
Answer:
x = 58 degrees
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
hypotenuse =99
adjacent = 52
angle of elevation = x
cos theta = adj/hyp
cos x = 52/99
x = arccos (52/99)
x = arccos(0.5253)
x = 58 degrees ( to the nearest degree)
How to write
six hundred thirteen trillion, one billion, thirty-five million, two hundred eight thousand, three in standard notation
A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 9 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 6 feet from the wall
Answer:
The area is changing at 15.75 square feet per second.
Step-by-step explanation:
The triangle between the wall, the ground, and the ladder has the following dimensions:
H: is the length of the ladder (hypotenuse) = 10 ft
B: is the distance between the wall and the ladder (base) = 6 ft
L: the length of the wall (height of the triangle) =?
dB/dt = is the variation of the base of the triangle = 9 ft/s
First, we need to find the other side of the triangle:
[tex]H^{2} = B^{2} + L^{2}[/tex]
[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]
Now, the area (A) of the triangle is:
[tex] A = \frac{BL}{2} [/tex]
Hence, the rate of change of the area is given by:
[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]
[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]
[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]
[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]
Therefore, the area is changing at 15.75 square feet per second.
I hope it helps you!
The rate of change (ROC) of the area with respect to (w.r.t.) time can be
found from the ROC of the area w.r.t. x and the ROC of x w.r.t. time.
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.Reasons:
The length pf the ladder = 10 feet
Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = 9 feet per second
Required:
The rate at which the area of the triangle formed by the ladder, the wall
and the ground, is changing at the instant the ladder is 6 feet from the wall.
Solution:
The area the triangle, A = 0.5·x·y
Where;
x = The distance of the ladder from the wall
y = The height of the ladder on the wall
By Pythagoras's theorem, we have;
10² = x² + y²
Which gives;
y = √(10² - x²)
Therefore;
The area the triangle, A = 0.5 × x × √(10² - x²)
By chain rule, we have;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]
[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]
Therefore;
[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]
When the ladder is 6 feet from the wall, we have;
x = 6
[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]
At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.
Learn more about chain rule of differentiation here:
https://brainly.com/question/20341047
Which of the following equations is the result after the first step in solving 3x + 6 = 12?
x + 6 = 4
x = 3
3x = 18
3x = 6
Answer:
3x =6
Step-by-step explanation:
3x+6 =12
Subtract 6 from each side
3x+6-6 = 12-6
3x =6 pls mark branilest if that helped
For his car Jason paid 91.48 per speacker for 3 speackers and 92.55 per tire for 5 tires with 8 100 bills . How much did Jason get in change ?
Answer:
1 speaker is $91.48
3 speakers = $91.48 × 3
= $274.44
1 tire is 9$2.55
5 tires = $92.55 × 5
= $462.75
8, 100 bills = $800
The cost for the 3 speakers and 5 tires = $274.44 + $462.75
= $737.19
Therefore, the change that Jason got was = $800 - $737.19
= $62.81
Salim buys boxes of crackers that each has the same cost x. He represents the cost of 3 boxes of
cheese crackers, 4 boxes of poppy seed crackers, and 6 boxes of plain crackers using the
expression 3x + 4x + 6x. What equivalent expression can represent the cost?
Answer:
13x
Step-by-step explanation:
You add them all up since they're like terms and all have x
How to Write in Digits the fifty five hundredths
Answer:
fifty five hundredths = 0.55
Step-by-step explanation:
Let's use 0.45 as an example. You read this decimal by using the place value of the last digit to the right of the decimal point.
This number is read as forty-five hundredths because the last digit is in the hundredths place.
8^10 x 8^4 simplified write your answer as a power
Answer:
8^14
Step-by-step explanation:
8^10x8^4=8^(10+4)=8^14
Pls Hurry its timed
How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?
A One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
B They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.
C One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction.
D They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.
I have a cage with cats and birds. there are 12 heads and 32 feet. how many
birds are there
12x4=48
48-32=16
4-2=2
16 divided by 2=8 birds
Answer:
4 cats, 8 birds
Step-by-step explanation:
make a system of equations and solve.
What is the probability of at least two coins landing on hands?
Answer:
pekpek
Step-by-step explanation:
hahsbshahahdhsjs
4 children was picking pears in their grandparents orchard.they had each picked the same number of pears by lunch time,when their grandpa gave them each 6 more pears now the 4 kids had 80 pears in all. How many pears did each child have before grandpa have them more?
According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
please help me with these two problems
Problem 1
With mean = median, the data set is symmetrical. Well it's more accurate to say "roughly symmetrical" due to the phrasing "mean is approximately equal to the median". Using the median as its center is fairly common with many distributions, so there isn't an issue here.
The error is from the phrasing "the quartiles should be used to measure the spread". The quartiles themselves don't measure spread. They are simply single data points and do not tell us the spread. If Ralph said Q3 = 75 is a measure of spread, then he would be incorrect. However, the difference between the third and first quartile will help get the IQR (interquartile range), as described by this equation below
IQR = Q3 - Q1
and this is one tool to measure how spread out data is. The larger the IQR is, the more spread out the data will be.
The IQR is how far of a gap it is from Q1 to Q3. Another tool to measure spread is the standard deviation. Ralph was probably thinking about the IQR when he mentioned the quartiles, but he should be more specific about what he means.
=======================================================
Problem 2
Answer: Skewed left
This is the same as saying "negatively skewed"
---------------
Explanation:
The main cluster of values is on the right side, while a small portion of values are to the left. We consider this the left tail and the left tail is pulled longer compared to the right tail. The further left we go, the shorter the bar and eventually we hit outliers. These much smaller outliers compared to the main cluster pull on the mean to make it smaller than it should be.
One example could be that this curve represents test scores. The majority of the class could get in the range of say 70 to 90. Then there's the unfortunate few outliers who scored much lower (possibly 40 through 60); those outlier scores pull down the mean grade of the class overall.
In short, negatively skewed data indicates that mean < median.
5. The area of the greatest square that is cut from a rectangle of sides
7cm and 4cm is
(1)
49sq.cm (ii) 28sq.cm (iii) 16sq.cm (iv) 9sq.em
Answer:
16 cm²
Step-by-step explanation:
The dimension of rectangle = 7cm by 4 cm
The Area of the greatest square that can be cut from the rectangle :
The dimension has to be the Same to form a square :
Hence, the greatest width = 4cm
Therefore, taking the length also as 4cm
Area of square = side length²
Greatest area of square that can be cut = 4² = 16cm²
2/5 times 20 can you please help
Answer:
8
Step-by-step explanation:
The answer is 8 multiple
Hope it helps
The graph of y=f(x) is shown below. According to the graph what is f(3)?
Find a function for the graph below
Answer:
d
Step-by-step explanation:
gfstikuhbbcwdjonngbb1519360
Answer:
D
Step-by-step explanation:
I took multivariable calculus in hs
FLIPPIN H E L P
which shows how to solve the equation3/4 x = -6 for x in one step?
a) 3/4 (4/3)x = -6 (4/3)
b) 3/4 (4)x = -6 (4)
c) 3/4 (4)x = -6 (3)
d) 3/4 (4/3)x = -6 (3/4)
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.
Answer:
0.0011 = 0.11% probability of selling less than 3 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A real estate agent has 17 properties that she shows.
This means that [tex]n = 17[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling less than 3 properties in one week.
This is
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]
[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]
[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]
0.0011 = 0.11% probability of selling less than 3 properties in one week.
A man has 1/2 of a kilogram of rice. He shares it equally amongst 6 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
1/12
Step-by-step explanation:
Volume!!! will give brainly thing if correct!
please how your work if possible
Answer:
C
Step-by-step explanation:
The picture give you the law of the volume of the pyramid
absolute value of -93
Answer:
93
Step-by-step explanation:
The absolute value is just how far from away from zero a number is.
pls help with this question i cant solve it
The tree is 6 feet tall
if a shuttle can go 28,000km per hour, how long will it take for the shuttle to go 1,277,127,530 km?
What are the coordinates of point of intersection of y=x+3 and y=3x-3?
Answer:
Correct option is
D
(0, 0)
Form the graph, we can see that solution is (0,0).
or
The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.
From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).
Answer:
Step-by-step explanation:
At the point of intersection, x+3 = 3x-3
6=2x
x = 3
y = x+3 = 6
Determine The Missing Number In The equation
1+12= +2
PLEASE HURRY!!!!
ILL WILL GIVE THE THE BRAINLIEST GDJFJJD
drag each triangle type to the correct category
Answer:
in order
yes
no
yes
no
no
Step-by-step explanation:
Answer:
Order.
Step-by-step explanation:
Yes.
No.
Yes.
No.
No.